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Finding the Third Proportional to 149,224 and 231,400

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Solution

The third proportional to 149,224 and 231,400 is: 358,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,224 : 231,400 = 231,400 : x
  2. Step 2: Convert to fraction form
    149,224/231,400 = 231,400/x
  3. Step 3: Cross multiply
    149,224x = 231,400 × 231,400
  4. Step 4: Simplify right side
    149,224x = 53,545,960,000
  5. Step 5: Solve for x
    x = 53,545,960,000/149,224
  6. Step 6: Final answer
    x = 358,829.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.